Question

Укажите, при каких значениях Х функция У= -Х^2+1 принимает положительные значения

Answer 1

-1<х<1
вот так получилось. на фотке решение

Answer 2

Функция У = -Х^2 + 1 принимает положительные значения при определенных значениях Х. Давайте найдем эти значения.

Finding the Values of X for Positive Values of Y

To find the values of X for which the function Y = -X^2 + 1 takes positive values, we need to solve the inequality -X^2 + 1 > 0.

Let's solve this inequality step by step:

1. Subtract 1 from both sides of the inequality: -X^2 > -1

2. Multiply both sides of the inequality by -1 (which reverses the inequality): X^2 < 1

3. Take the square root of both sides of the inequality: X < 1 and X > -1

Therefore, the function Y = -X^2 + 1 takes positive values when X is between -1 and 1, excluding -1 and 1.

In summary, the function Y = -X^2 + 1 takes positive values when X is between -1 and 1, excluding -1 and 1.

Conclusion

The function Y = -X^2 + 1 takes positive values when X is between -1 and 1, excluding -1 and 1.